Title :
Iterative algorithm with errors for fixed points of relatively nonexpansive mappings
Author :
Li, Wei ; Lin, Tan-Rui
Author_Institution :
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
Abstract :
Finding fixed points of nonexpansive mappings is a hot topic in different branches of mathematical and engineering sciences. In this paper, two iterative algorithms with errors are proposed and proved to be strongly convergent to fixed points of relatively of Lyapunov functional and generalized projection operator, etc. Moreover, it is demonstrated how to use the newly obtained iterative algorithms to approximate zero points of maximal monotone operators, which is also an important topic in the related areas.
Keywords :
Lyapunov methods; convergence; error analysis; iterative methods; mathematical operators; Lyapunov functional; engineering science; generalized projection operator; iterative algorithm; mathematical science; maximal monotone operators; relatively nonexpansive mapping; zero point approximation; Iterative algorithms; Pattern analysis; Pattern recognition; Wavelet analysis; Relatively nonexpansive mapping; fixed point; maximal monotone operator; strong convergence; zero point;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
DOI :
10.1109/ICWAPR.2009.5207493
